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Finding the Fourth Proportional to 253,721.56, 349,803.84 and 218,292.16

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Solution

The fourth proportional to 253,721.56, 349,803.84 and 218,292.16 is: 300,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,721.56 : 349,803.84 = 218,292.16 : x
  2. Step 2: Convert to fraction form
    253,721.56/349,803.84 = 218,292.16/x
  3. Step 3: Cross multiply
    253,721.56x = 349,803.84 × 218,292.16
  4. Step 4: Simplify right side
    253,721.56x = 76,359,435,809.89
  5. Step 5: Solve for x
    x = 76,359,435,809.89/253,721.56
  6. Step 6: Final answer
    x = 300,957.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.